15/8 - 5/19 as a fraction

Learn how to find what is 15/8 minus 5/19 in fraction form just in a few minutes. We have covered the easiest method to write 15/8 - 5/19 as a fraction and decimal.

Summary: 15/8 minus 5/19 = 245/152
Since both fractions have unequal denominators, 15/8 minus 5/19 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15/8 and fraction 5/19 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 8 and 19. 152 is the LCM of 8 and 19. Multiplying the LCM 152 with the numerators and denominators of both fractions (15/8 x 152/152) - (5/19 x 152/152), and simplify further in order to have the common denominator. So the equivalent fraction for 15/8 is 285/152 and for 5/19 is 40/152. By simplifying this fraction subtraction 285/152 - 40/152, it becomes 245/152.

CALCULATION: 15/8 - 5/19 as a fraction
15/8 - 5/19 = (?)
15/8 - 5/19 = [(15 x 19) - (5 x 8)]/(8 x 19)
= (285 - 40)/152
= 245/152
15/8 - 5/19 = 245/152
15/8 minus 5/19 as a fraction is 245/152.

where
15/8 is a improper fraction as a minuend,
5/19 is a proper fraction as a subtrahend,
245/152 is the difference between 15/8 and 5/19.

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15/8 minus 5/19 as a decimal
15/8 - 5/19 = 245/152
245/152 = 1.6118
(15/8) - (5/19) as a decimal is 1.6118

where
1.6118 is the difference between 15/8 and 5/19.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/19 from 15/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15/8 minus 5/19.
1. LCM method
2. Cross multiplication method.

(15/8) - (5/19) using LCM Method:
What is 15/8 minus 5/19 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 5/19

What to be found?
(15/8) - (5/19) = ?
Find what's the difference between 15/8 and 5/19.

step 2 Compare the denominators of fractions 15/8 and 5/19 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15/8 and 5/19 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 15/8 and 5/19:
The LCM of 8 and 19 is 152.

step 4 Write the fractions 15/8 and 5/19 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15/8 - 5/19
= [(15 x 152)/(8 x 152)] - [(5 x 152)/(19 x 152)]

step 5 Simplify the expression to have common denominator:
= 285/152 - 40/152

step 6 Take the common values out and rewrite the above expression like the below:
= 1/152 x (285/1 - 40/1)
= 1/152 x (285 - 40)

step 7Simplify the above expression further:
= 1/152 x 245
= 245/152
15/8 - 5/19 = 245/152

Hence,
15/8 minus 5/19 as a fraction is 245/152.

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15/8 - 5/19 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/8
Fraction B: 5/19

What to be found?
(15/8)-(5/19) = ?
Find what's the difference between 15/8 and 5/19.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 19), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 19) and rewrite the equation as like the below:
= (15 x 19) - (5 x 8)/(8 x 19)

step 3 Simplify and rewrite the fraction:
= (285 - 40)/152
15/8 - 5/19 = 245/152

Hence,
15/8 minus 5/19 in fraction is 245/152